Linear Arrangement

Study the following information carefully and answer the questions given below:
(i) A, B, C, D, E, F, G and H are eight students, each having a different height.
(ii) D is shorter than A but taller than G
(iii) E is taller than H but shorter than C
(iv) B is shorter than D but taller than F
(v) C is shorter than G
(vi) G is not as tall as F

  1. Which of the following is definitely false?
    1. G is shorter than F
    2. C is shorter than F
    3. F is taller than c
    4. B is taller than E
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    A > D > G
    C > E > H
    D > B > F
    G > C
    F > G
    Combining these , we get A > D > B > F > G > C > E > H
    is the correct answer.

    Correct Option: E

    A > D > G
    C > E > H
    D > B > F
    G > C
    F > G
    Combining these , we get A > D > B > F > G > C > E > H
    is the correct answer.

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  1. If another student J, who is taller than E but shorter than G, is added to the group, which of the following will be definitely true?
    1. C and J are of the same height
    2. J is shorter than D
    3. J is shorter than H
    4. J is taller than A
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    A > D > G
    C > E > H
    D > B > F
    G > C
    F > G
    Combining these , we get A > D > B > F > G > C > E > H
    is the correct answer; A > D > B > F > G > C, J > E > H

    Correct Option: B

    A > D > G
    C > E > H
    D > B > F
    G > C
    F > G
    Combining these , we get A > D > B > F > G > C > E > H
    is the correct answer; A > D > B > F > G > C, J > E > H

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  1. Which of the following will definitely be the third from top when the eight student are arranged in descending order of height?
    1. B
    2. F
    3. G
    4. B or G
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    A > D > G
    C > E > H
    D > B > F
    G > C
    F > G
    Combining these , we get A > D > B > F > G > C > E > H
    is the correct answer.

    Correct Option: A

    A > D > G
    C > E > H
    D > B > F
    G > C
    F > G
    Combining these , we get A > D > B > F > G > C > E > H
    is the correct answer.

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  1. How many of them are definitely shorter than F?
    1. Three
    2. Four
    3. Five
    4. data inadequate
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    A > D > G
    C > E > H
    D > B > F
    G > C
    F > G
    Combining these , we get A > D > B > F > G > C > E > H
    is the correct answer; G, C, E and H

    Correct Option: B

    A > D > G
    C > E > H
    D > B > F
    G > C
    F > G
    Combining these , we get A > D > B > F > G > C > E > H
    is the correct answer; G, C, E and H

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  1. Which of the following is redundant to answer all the above questions?
    1. (ii) only
    2. (ii) and (iii) only
    3. (iii) and (iv) only
    4. (ii) and (v) only
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    A > D > G
    C > E > H
    D > B > F
    G > C
    F > G
    Combining these , we get A > D > B > F > G > C > E > H
    is the correct answer;

    Correct Option: E

    A > D > G
    C > E > H
    D > B > F
    G > C
    F > G
    Combining these , we get A > D > B > F > G > C > E > H
    is the correct answer;

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